PARTIAL SELECTIVE REDUCED INTEGRATION SCHEMES AND KINEMATICALLY LINKED INTERPOLATIONS FOR PLATE BENDING PROBLEMS

1999 ◽  
Vol 09 (05) ◽  
pp. 693-722 ◽  
Author(s):  
FERDINANDO AURICCHIO ◽  
CARLO LOVADINA
Keyword(s):  
Finite Elements ◽  
Stability And Convergence ◽  
Mindlin Plate ◽  
Plate Bending ◽  
Numerical Tests ◽  
Integration Schemes ◽  
Bending Problems ◽  
Analysis Of Stability ◽  
Stabilization Technique ◽  
Selective Reduced Integration

Some finite elements for the approximation to the solution of the Reissner–Mindlin plate problem are presented. All of them take advantage of a stabilization technique recently proposed by Arnold and Brezzi. Moreover, a kinematically linked interpolation approach has been used to improve the convergence features. A general theoretical analysis of stability and convergence is also provided, together with extensive numerical tests.

Robust BDDC Preconditioners for Reissner–Mindlin Plate Bending Problems and MITC Elements

2010 ◽  
Vol 47 (6) ◽  
pp. 4214-4238 ◽  
Author(s):  
L. Beirão da Veiga ◽  
C. Chinosi ◽  
C. Lovadina ◽  
L. F. Pavarino
Keyword(s):  
Mindlin Plate ◽  
Plate Bending ◽  
Bending Problems

A New Strain Based Sector Finite Element for Plate Bending Problems

2017 ◽  
Vol 31 ◽  
pp. 1-13 ◽  
Author(s):  
Sifeddine Abderrahmani ◽  
Toufik Maalem ◽  
Abdallah Zatar ◽  
Djamal Hamadi
Keyword(s):  
Finite Element ◽  
Numerical Analysis ◽  
Finite Elements ◽  
Degrees Of Freedom ◽  
Numerical Solutions ◽  
Plate Bending ◽  
Numerical Examples ◽  
Bending Problems ◽  
Thin Plate Bending ◽  
Three Degrees Of Freedom

The purpose of this paper is to present the formulation of a new sector finite element based on the strain approach for the numerical analysis of circular thin plate bending. The element is named SBSPK and has four nodes and three degrees of freedom per node (3 d.o.f./node). From several numerical examples, it is shown that convergence can be achieved with the use of only a small number of finite elements. The results obtained are compared with analytical and available numerical solutions.

Finite Element Analysis of Plate Bending Problems Using Transition Plate Elements

2005 ◽  
Vol 6-8 ◽  
pp. 713-720
Author(s):  
B. Kanber ◽  
O.Y. Bozkurt
Keyword(s):  
Finite Element ◽  
Plate Theory ◽  
Mindlin Plate ◽  
Plate Bending ◽  
Element Analysis ◽  
Finite Element Program ◽  
Plate Elements ◽  
Element Program ◽  
New Type ◽  
Bending Problems

In this work, four different transition plate elements are derived and used for the finite element analysing of plate bending problems. The Mindlin plate theory is used in the element formulations. So the transverse shear is also included in the solutions. The coefficients of trial functions are selected from the Pascal triangle using a practical rule. An existing finite element program is improved by adding new type transition plate elements. All Fortran IV codes are changed to Fortran 95 codes in the existing program. To verify the developed elements, a cantilever plate and plate bending problems are solved. Their results are compared with ANSYS results.

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